Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034d |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
12216742084853988 = 22 · 3 · 115 · 436 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18610223,30893456145] |
[a1,a2,a3,a4,a6] |
Generators |
[40:173615:1] |
Generators of the group modulo torsion |
j |
112763292123580561/1932612 |
j-invariant |
L |
6.87647879177 |
L(r)(E,1)/r! |
Ω |
0.28678259103813 |
Real period |
R |
4.7956040496737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66c3 |
Quadratic twists by: -43 |